SOLUTION: A pencil box has a length of 10 inches and a volume of 64 cubic inches. A similar pencil box has a volume of 512 cubic inches. What is the length of the similar pencil box?

Algebra ->  Volume -> SOLUTION: A pencil box has a length of 10 inches and a volume of 64 cubic inches. A similar pencil box has a volume of 512 cubic inches. What is the length of the similar pencil box?      Log On


   



Question 937096: A pencil box has a length of 10 inches and a volume of 64 cubic inches. A similar pencil box has a volume of 512 cubic inches.
What is the length of the similar pencil box?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A pencil box has a length of 10 inches and a volume of 64 cubic inches. A similar pencil box has a volume of 512 cubic inches.
What is the length of the similar pencil box?
==================
The volume is 8 times, 512/64
Volume is a function of the cube of the dimensions.
root%283%2C8%29+=+2
--> dimensions are 2x
Length = 2*10 = 20 inches
====================
That's a BIG pencil box. I hope it has wheels.